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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 828 · 40 sums
TalentJR

The method (Same base, work the powers): aᵐ × aⁿ = aᵐ⁺ⁿ, aᵐ ÷ aⁿ = aᵐ⁻ⁿ, (aᵐ)ⁿ = aᵐⁿ, a⁰ = 1. a⁻ⁿ = 1/aⁿ, and (a/b)⁻ⁿ = (b/a)ⁿ. Standard form: one digit before the point × a power of 10 — 4500000 = 4.5 × 10⁶. × 10⁻ⁿ moves the decimal point n places to the left: 2.5 × 10⁻³ = 0.0025.

NameDateTime takenScore ___ / 40
  1. 1.Write 5,600 in standard form as 5.6 × 10ⁿ. What is n?
  2. 2.What is the value of 2⁷? =
  3. 3.Write 5.2 × 10⁻⁴ as a decimal. =
  4. 4.2.1 × 10⁵ =
  5. 5.What is the value of 4⁸? =
  6. 6.What is the value of 4⁻² (as a fraction)? =
  7. 7.3.9 × 10² =
  8. 8.2.4 × 10⁶ =
  9. 9.What is the value of (8/9)⁻²? =
  10. 10.What is the value of 10⁻² (as a fraction)? =
  11. 11.What is the value of 4⁻⁴ (as a fraction)? =
  12. 12.What is the value of 3⁶ × 3⁻⁵? =
  13. 13.Write 50,000 in standard form as 5 × 10ⁿ. What is n?
  14. 14.Write 8¹¹ ÷ 8² as a single power 8ⁿ. What is n?
  15. 15.1.1 × 10² =
  16. 16.What is the value of 5⁻⁴ (as a fraction)? =
  17. 17.What is the value of 2⁴ × 2⁻⁵? =
  18. 18.What is the value of 2³ × 2⁻³? =
  19. 19.What is the value of 7⁵? =
  20. 20.What is the value of 5⁴ × 5⁻²? =
  21. 21.What is the value of 2⁴ × 2⁻⁶? =
  22. 22.What is the value of (2/3)⁻¹? =
  23. 23.Write 3⁵ × 3⁸ as a single power 3ⁿ. What is n?
  24. 24.7.5 × 10⁷ =
  25. 25.Write 2.3 × 10⁻¹ as a decimal. =
  26. 26.Write (2⁴)⁴ as a single power 2ⁿ. What is n?
  27. 27.Write 9³ × 9⁶ as a single power 9ⁿ. What is n?
  28. 28.Write (2³)⁷ as a single power 2ⁿ. What is n?
  29. 29.Write 4.1 × 10⁻¹ as a decimal. =
  30. 30.What is the value of 4²? =
  31. 31.What is the value of 3⁻⁵ (as a fraction)? =
  32. 32.What is the value of 2⁵ × 2⁻⁶? =
  33. 33.Write 4.1 × 10⁻⁴ as a decimal. =
  34. 34.4.8 × 10⁵ =
  35. 35.What is the value of 10⁻¹ (as a fraction)? =
  36. 36.What is the value of 10²? =
  37. 37.Write 5.4 × 10⁻¹ as a decimal. =
  38. 38.Write 9⁴ × 9⁹ as a single power 9ⁿ. What is n?
  39. 39.Write (3³)⁴ as a single power 3ⁿ. What is n?
  40. 40.What is the value of 10⁵? =

Answer key

  1. 3
  2. 128
  3. 0.00052
  4. 210000
  5. 65536
  6. 1/16
  7. 390
  8. 2400000
  9. 81/64
  10. 1/100
  11. 1/256
  12. 3
  13. 4
  14. 9
  15. 110
  16. 1/625
  17. 1/2
  18. 1
  19. 16807
  20. 25
  21. 1/4
  22. 3/2
  23. 13
  24. 75000000
  25. 0.23
  26. 16
  27. 9
  28. 21
  29. 0.41
  30. 16
  31. 1/243
  32. 1/2
  33. 0.00041
  34. 480000
  35. 1/10
  36. 100
  37. 0.54
  38. 13
  39. 12
  40. 100000

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